A New Algebraization of the Lame Equation
Mathematical Physics
2009-10-31 v1 math.MP
Abstract
We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-meromorphic Lame functions in terms of Chebyshev polynomials and of a certain family of weakly orthogonal polynomials
Keywords
Cite
@article{arxiv.math-ph/9908002,
title = {A New Algebraization of the Lame Equation},
author = {F. Finkel and A. Gonzalez-Lopez and M. A. Rodriguez},
journal= {arXiv preprint arXiv:math-ph/9908002},
year = {2009}
}
Comments
Latex2e with AMS-LaTeX and cite packages; 32 pages